Add to ORKGAbstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface group. We prove that every one-ended double of a free group contains a hyperbolic surface group if the free group has rank two, or every generator is used the same number of times in the list of amalgamating words. Our method is based on formulating a stronger conjecture on tilings of closed surfaces combinatorially in terms of Whitehead graphs and proving it for certain classes of graphs. 1
Abstract. We show that certain classes of graphs of free groups contain sur-face subgroups, includin...
The Surface Group Conjectures are statements about recognising surface groups among one-relator grou...
We give several sufficient conditions for a double of a free group along a cyclic subgroup to contai...
Abstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface g...
Abstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface g...
Hyperbolic surface subgroups of one-ended doubles of free groups Sang-hyun Kim and Sang-il Oum Gromo...
Hyperbolic surface subgroups of one-ended doubles of free groups Sang-hyun Kim and Sang-il Oum Gromo...
A well known question of Gromov asks whether every one-ended hyperbolic group $\Gamma$ has a surface...
[2000] Primary 20F36, 20F65 hyperbolic group, surface group Abstract. A longstanding question of Gro...
A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subg...
A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subg...
Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgro...
AbstractWe prove that any Coxeter group that is not virtually free contains a surface group. In part...
A conjecture of Gromov states that a one-ended word-hyperbolic group must contain a subgroup tha...
We find conditions under which the fundamental groups of the graphs of surface groups are hyperbolic...
Abstract. We show that certain classes of graphs of free groups contain sur-face subgroups, includin...
The Surface Group Conjectures are statements about recognising surface groups among one-relator grou...
We give several sufficient conditions for a double of a free group along a cyclic subgroup to contai...
Abstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface g...
Abstract. Gromov asked whether every one-ended word-hyperbolic group contains a hyperbolic surface g...
Hyperbolic surface subgroups of one-ended doubles of free groups Sang-hyun Kim and Sang-il Oum Gromo...
Hyperbolic surface subgroups of one-ended doubles of free groups Sang-hyun Kim and Sang-il Oum Gromo...
A well known question of Gromov asks whether every one-ended hyperbolic group $\Gamma$ has a surface...
[2000] Primary 20F36, 20F65 hyperbolic group, surface group Abstract. A longstanding question of Gro...
A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subg...
A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subg...
Let G be a word-hyperbolic group, obtained as a graph of free groups amalgamated along cyclic subgro...
AbstractWe prove that any Coxeter group that is not virtually free contains a surface group. In part...
A conjecture of Gromov states that a one-ended word-hyperbolic group must contain a subgroup tha...
We find conditions under which the fundamental groups of the graphs of surface groups are hyperbolic...
Abstract. We show that certain classes of graphs of free groups contain sur-face subgroups, includin...
The Surface Group Conjectures are statements about recognising surface groups among one-relator grou...
We give several sufficient conditions for a double of a free group along a cyclic subgroup to contai...